An Outline of Ergodic Theory (Cambridge Studies in Advanced by Steven Kalikow,Randall McCutcheon

By Steven Kalikow,Randall McCutcheon

This casual advent offers a clean viewpoint on isomorphism idea, that is the department of ergodic conception that explores the stipulations lower than which degree conserving structures are primarily an identical. It encompasses a primer in uncomplicated degree thought, proofs of primary ergodic theorems, and fabric on entropy, martingales, Bernoulli techniques, and numerous forms of blending. unique proofs of vintage theorems - together with the Shannon–McMillan–Breiman theorem, the Krieger finite generator theorem, and the Ornstein isomorphism theorem - are provided by way of levels, including necessary tricks that inspire the reader to improve the proofs all alone. countless numbers of workouts and open difficulties also are incorporated, making this an incredible textual content for graduate classes. pros desiring a short evaluation, or looking a distinct viewpoint at the topic, also will worth this book.

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